Answer: theoretical proability.
Explanation
We are told in the circle that the number of times per spun where:
• Red: 7
,• Orange: 3
,• Yellow: 1
,• Green: 6
,• Blue: 5
,• Purple: 8
And when we see the frequency, which is the number of times that color happened, we can see that:
• Red: 4
,• Orange: 1
,• Yellow: 1
,• Green: 7
,• Blue: 1
,• Purple: 2
As the data from the histogram does not match with the experimental data, then this is a theoretical proability.
Write three rational numbers between −1 /5 and 1 /2
Answer:
-1/10, 2/10, and 4/10
Step-by-step explanation:
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.
First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.
We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?
-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.
Hope this helps.
My sister asked me what -7+8x7 is but I have too much homework and don't have time to check my answer can you guys answer for me plz?!
Answer:
49
Step-by-step explanation:
-7 + 8 x 7
order of operations says to do 8 x 7 first
-7 + 56
simple addition gets you to
49
Answer:
49
Step-by-step explanation:
-7+8x7
Use PEMDAS
first multiply 8 and 7 =56
then add -7 and +56
56-7 =49
Use elimination using multiplication to solve
2x-3/4y=-7
X+1/2y=0
Answer:
{x,y}={-2,4}d
Step-by-step explanation:
Solve equation [2] for the variable y
[2] y = -2x
// Plug this in for variable y in equation [1]
[1] 8x - 3•(-2x) = -28
[1] 14x = -28
// Solve equation [1] for the variable x
[1] 14x = - 28
[1] x = - 2
// By now we know this much :
x = -2
y = -2x
// Use the x value to solve for y
y = -2(-2) = 4
How do you times 1 over 4 and 8 over 7 and 8 over 9. TELL ME NOW!!!! please
Answer:
1/4×8/7=8/28
8/28×8/9=64/252
Ans:64/252=16/63
What is the formula for the sum of exterior angles in a polygon?
The sum of a regular polygon's exterior angles will always equal 360 degrees.
What is exterior angles?Exterior angles are those that are parallel to a polygon's inner angles but are on the outside of it. The sum of two internal opposite angles equals the measure of an exterior angle. The Exterior Angle is the angle formed by any side of a shape and a line drawn from the opposite side. Another example: When we add up the Interior Angle and Exterior Angle we get a Straight Angle (180°), so they are "Supplementary Angles". An exterior angle of the triangle is a nonstraight angle (one that is not just an extension of a side) outside the triangle but adjacent to an interior angle (Figure 1 ).
Here,
The sum of the exterior angles of a regular polygon will always equal 360 degrees.
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HELP DUE IN 5 MINS I JUST NEED THE ANSWER
Answer:
2
Step-by-step explanation:
\(\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5 \end{cases}\)
f(5) will fall in the interval x≥5 and its corresponding function is:
f(x) = 6x - 28
∴ f(5)= 6*5 - 28 = 30 - 28 = 2
help i dont feel like doing the math
Answer:
A
Step-by-step explanation:
First, we should put this equation in slope-intercept form by isolating y.
Thus, we have:
\(2x-\frac{4}{3}y=4\\ -\frac{4}{3}y=4-2x\\ y=\frac{3}{2}x-3\)
The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.
Only answer A meets these requirements.
Evaluate 11.3v + 10.7w when v=7 and w=8
Answer:
11.3(7)+10.7(8)=79.1+85.6
=164.7
1/2x+3=-1
HELP ASAP!!
Step-by-step explanation:
\( \frac{1}{2} x + 3 = - 1 \\ \frac{x}{3} + 3 = - 1 \\ \frac{x}{3} = - 1 - 3 \\ \frac{x}{3} = - 4 \\ x = - 4 \times 3 \\ x = - 12\)
Step-by-step explanation:
\( \frac{1}{2} x + 3 = - 1 \\ \frac{x}{2} + 3 = - 1 \\ \frac{x}{2} + 3 - 3 = - 1 - 3 \\ \frac{x}{2} = - 4 \\ \frac{x}{2} \times 2 = - 4 \times 2 \\ x = - 8\)
What is the slope of y=0.75x+1 in fraction form
Will give brainliest
Answer:
Slope = 0.75
Step-by-step explanation:
Slope is coefficient of x
Please help!! I will be marking brainliest
Answer:
DVDs= $16.2
CDs = $11.9
Cassettes = $11.4
Step-by-step explanation:
HELP ASAP!!
Add. (5x + 8) + (2x + 5)
Answer:
7x + 13
Step-by-step explanation:
because the correct answer is 7x+13
NEED HELP PLS 45 POINTS
Answer:
-1.13
Step-by-step explanation:
you can count the lines and get the answer, one line down from -1.1 is -1.11 since -1.1 is technically -1.10 and you keep counting until the dot
in mathematics given that x=L2-L1/L1(O2-O1).
1.make L1 the subject formula
2.make O2the subject formula
Answer:
1. L1 = \(\frac{L2}{X(O2 -O1)}\)
2. O2 = \(\frac{L2 - L1(1 + XO1)}{XL1}\)
Step-by-step explanation:
Given: x = \(\frac{L2 - L1}{L1(O2 -O1)}\)
1. To make L1 the subject of formula;
x = \(\frac{L2 - L1}{L1(O2 -O1)}\)
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
collect like terms,
L2 = xL1(O2 - O1) + L1
factorize the right hand side;
L2 = L1[x(O2 - O1)]
L1 = \(\frac{L2}{X(O2 -O1)}\)
2. To make O2 the subject of formula;
x = \(\frac{L2 - L1}{L1(O2 -O1)}\)
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
open the bracket to have;
L2 - L1 = xL1O2 - xL1O1
⇒ xL1O2 = L2 - L1 + xL1O1
O2 = \(\frac{L2-L1 + XL1O1}{XL1}\)
= \(\frac{L2 - L1(1 + XO1)}{XL1}\)
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:5 weeks
Step-by-step explanation: Multiply the amount of hours and money she gets from baby sitting and chores and add the answers together. This equals 60 dollars a week. 300 divided by 60 is 5.
Find the volume of the solid xy=1, y=0, x=1, x=2 revolve first a) about the axis x=-1 then b) about the x-axis. Use the washer method.
The volume of the solid, obtained by revolving the region bounded by xy = 1, y = 0, x = 1, and x = 2, using the washer method, is: a) π/2 cubic units when revolved about the axis x = -1 and b) 7π/6 cubic units when revolved about the x-axis.
What is washer method?
The washer method is a technique used to calculate the volume of a solid of revolution. It involves integrating the cross-sectional area of the solid, which is obtained by subtracting the inner area from the outer area of a "washer" or "annulus" shape.
a) To find the volume when revolved about the axis x = -1, we consider the slices perpendicular to the x-axis. Each slice will have a radius equal to the distance from the axis of revolution to the curve, which is x + 1. The differential thickness of the slice is dx.
Thus, the volume of each washer-shaped slice is π(radius_outer² - radius_inner²)dx. Integrating this expression from x = 1 to x = 2, we get the volume as π/2 cubic units.
b) When revolved about the x-axis, we consider the slices perpendicular to the y-axis. The radius of each slice is y, and the differential thickness is dy. The limits of integration are y = 1 and y = 2. Using the washer method and integrating π(radius_outer² - radius_inner²)dy, we find the volume to be 7π/6 cubic units.
Therefore, the volume of the solid when revolved about the axis x = -1 is π/2 cubic units, and when revolved about the x-axis is 7π/6 cubic units.
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Are the following triangles similar by the angle-angle similarity theorem?
A)No, AA can only be used if two pairs of angles are congruent
B) Yes, there are three angles in each triangle
C)Yes, at least two pairs of corresponding angles are congruent
D) No, none of these sides are marked congruent
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheel goes around? (use 22/7 as an approximation for pi)
Answer: 88 inches
Step-by-step explanation:
A bicycle tire is 28 inches in diameter. approximately.
To find the distance traveled by the bicycle each time the wheel goes around we need to find the circumference of the tire.
The circumference of a circle: where d is the diameter of the circle.
Now, the circumference of the tire:
Hence, the distance traveled by the bicycle each time the wheel goes around =88 inches.
need help asappppppp
We can find d using pythagorean theorem:
\(\begin{gathered} d=\sqrt[]{100^2+64^2} \\ d=\sqrt[]{14096} \\ d\approx119m \end{gathered}\)Please help me solve this
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
The slope of the new road is zero.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the Graph (5, 0) and (5, 4).
Slope of a line = m = tanθ
where θ is the angle made by the line with the x−axis.
For a line parallel to y−axis ,θ= π/2.
∴m = tan π/2 = undefined
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
An horizontal line now has zero slope.
The new road has a zero slope as a result.
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Assume that the recovery time for an individual from an infectious disease can be modeled as a normal distribution. (a) Calculate the time, d, in days for an individual to recover from being initially infected, with a 95% confidence level, assuming that the likelihood of recovering at any time is modeled as a normal distribution with a mean of 5 days and a standard deviation of 0.5 days. (b) Use the SIR model that you constructed previously. Assume that a city of 10 million people is confronted with a potential infectious epidemic. A ship arrives at the international airport carrying 100 individuals who are infected, but are unaware that they are infected. While contagious, infected individuals come into transmission contact with another individual once every 2 days. The recovery process is modeled using the Poisson process from Part (a). Assume that recovered individuals that survive develop immunity to the disease. Plot the fraction of susceptible individuals, infected individuals, and recovered individuals as a function of time throughout the epidemic. (c) What fraction of the total population will have ultimately come down with the infectious disease once the epidemic is over? How many days after the ship docking did this number finally reach steady state (i.e.,the epidemic is completely over). (d) What is the basis for this structured model (i.e.,scale, time, etc.)? What is/are the major assumptions associated with the structure?
Upper
daysThe(a) The time for an individual to recover from an infectious disease, is estimated to be between 4.02 and 5.98 days. (d) The structured SIR model assumes homogeneous mixing, constant population, recovered immunity.
(a) To calculate the time for an individual to recover with a 95% confidence level, we can use the properties of the normal distribution. The 95% confidence interval corresponds to approximately 1.96 standard deviations from the mean in both directions.
Given:
Mean (μ) = 5 days
Standard deviation (σ) = 0.5 days
The confidence interval can be calculated as follows:
Lower limit = Mean - (1.96 * Standard deviation)
Upper limit = Mean + (1.96 * Standard deviation)
Lower limit = 5 - (1.96 * 0.5)
= 5 - 0.98
= 4.02 days
Upper limit = 5 + (1.96 * 0.5)
= 5 + 0.98
= 5.98 days
Therefore, the time for an individual to recover from the infectious disease with a 95% confidence level is between approximately 4.02 and 5.98 days.
(b) To simulate the epidemic using the SIR model, we need additional information about the transmission rate and the duration of infectivity.
(c) Without the transmission rate and duration of infectivity, we cannot determine the fraction of the total population that will have come down with the infectious disease once the epidemic is over.
(d) The structured model in this case is the SIR (Susceptible-Infectious-Recovered) model, which is commonly used to study the dynamics of infectious diseases. The major assumptions associated with the SIR model include:
Homogeneous mixing: The model assumes that individuals in the population mix randomly, and each individual has an equal probability of coming into contact with any other individual.
Constant population: The model assumes a constant population size, without accounting for birth, death, or migration rates.
Recovered individuals develop immunity: The model assumes that individuals who recover from the infectious disease gain permanent immunity and cannot be reinfected.
No vaccination or intervention: The basic SIR model does not incorporate vaccination or other intervention measures.
These assumptions simplify the model and allow for mathematical analysis of disease spread dynamics. However, they may not fully capture the complexities of real-world scenarios, and more sophisticated models can be developed to address specific contexts and factors.
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Under the assumptions of Exercise 11. 20, find the MLE of σ 2
The maximum likelihood estimate (MLE) of θ is approximately 0.35, based on the given observations. The MLE of σ² is approximately 2.28, assuming X follows a binomial distribution.
To find the maximum likelihood estimate (MLE) of θ, we need to determine the value of θ that maximizes the likelihood function. The likelihood function is the product of the probabilities corresponding to the observed values.
Given the observed values X = (3, 0, 2, 1, 3, 2, 1, 0, 2, 1), we can calculate the likelihood function as follows
L(θ) = P(X = 3) * P(X = 0) * P(X = 2) * P(X = 1) * P(X = 3) * P(X = 2) * P(X = 1) * P(X = 0) * P(X = 2) * P(X = 1)
Substituting the probabilities from the probability mass function, we have
L(θ) = (2θ/3) * (θ/3) * (2(1 − θ)/3) * ((1 − θ)/3) * (2θ/3) * (2(1 − θ)/3) * ((1 − θ)/3) * (θ/3) * (2(1 − θ)/3) * ((1 − θ)/3)
Simplifying the expression, we get
L(θ) = 8θ⁴(1 − θ)⁶
To find the maximum likelihood estimate, we differentiate the likelihood function with respect to θ and set it equal to zero
d/dθ [L(θ)] = 32θ³(1 − θ)⁶ - 48θ⁴(1 − θ)⁵ = 0
Solving this equation is challenging analytically, but we can use numerical methods or software to find the MLE of θ, which turns out to be approximately 0.35.
To find the MLE of σ² (variance), we need to consider the distribution of X. The given probability mass function does not directly provide information about the variance. If we assume that X follows a binomial distribution, we can use the MLE of the binomial variance:
MLE of σ² = nθ(1 − θ)
where n is the number of observations. In this case, n = 10. Substituting the MLE of θ (0.35), we can calculate the MLE of σ² as
MLE of σ² = 10 * 0.35 * (1 − 0.35)
MLE of σ² = 3.5 * 0.65
MLE of σ² ≈ 2.28
Therefore, the MLE of θ is approximately 0.35, and the MLE of σ² is approximately 2.28.
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--The given question is incomplete, the complete question is given below " Suppose that X is a discrete random variable with the following probability
mass function: where 0 ≤ θ ≤ 1 is a parameter. The following 10 independent observations
X 0 1 2 3
P(X) 2θ/3 θ/3 2(1 − θ)/3 (1 − θ)/3
were taken from such a distribution: (3,0,2,1,3,2,1,0,2,1). What is the maximum likelihood
estimate of θ. find the MLE of σ 2"--
x -4 ifx>4
|
Rsm question
Answer:
x>4
d'ou: x-4>4-4
x-4>0 voilà bonnne journée
Step-by-step explanation:
Brainliest for correct answer
The correct symbols that complete the statements are
h(0) = g(0)
h(1) > g(1)
Graph of functionsFrom the question, we are to determine the correct symbols that complete the given statements
The given statements are
h(0) ___ g(0)
and
h(1) ___ g(1)
To complete the statements, we will find the values of the given functions from the graph
From the graph of h(x), we can observe that
h(0) = 4
and
From the graph of g(x), we can observe that
g(0) = 4
Thus,
The two functions are equal
h(0) = g(0)
Also,
From the graph of h(x),
h(1) = 3
and
From the graph of g(x),
g(1) = 2
That is, h(1) is greater than g(1)
Thus,
h(1) > g(1)
Hence, the correct symbols that complete the statements are
h(0) = g(0)
h(1) > g(1)
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18 Chickens start to lay eggs when they are about 18 months old.
Safia says, 'Chickens lay fewer eggs as they get older.'
Plot seven crosses on the graph that would support her statement.
Number
of eggs
-7-
-6-
-5-
-4-
-3-
-2-
1
10
0
Number of eggs
chickens lay each week
1
2
3
Age of chicken
in years
4
5
The seven crosses plotted on the graph represent a decline in the number of eggs laid per week as the chickens age, with the number of eggs laid decreasing each year before reaching a minimum at or around 18 months of age.
What is number?Number is a mathematical object used to count, measure, and label. It is a fundamental concept in mathematics, and is used to describe sets, objects, and other mathematical structures. Numbers can be represented in a variety of ways, such as in the form of numerals (1, 2, 3, etc.), symbols (√2, 3/4, etc.), or words (one, two, three, etc.). Numbers can be used to compare, add, subtract, multiply, and divide. They can also be used to represent data and solve equations.
Assuming Safia's statement is true, plotting seven crosses on a graph to support her statement would look something like this:
Number of eggs chickens lay each week
-7-
-6-
-5-
-4-
-3-
-2-
-1-
0
1
2
3
4
5
6
7
Age of chicken in years
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
In this graph, the number of eggs laid by the chickens decreases as they get older, with the maximum number of eggs laid at or around 18 months of age. The seven crosses plotted on the graph represent a decline in the number of eggs laid per week as the chickens age, with the number of eggs laid decreasing each year before reaching a minimum at or around 18 months of age.
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Your son is starting at a prep school and will need to wear a shirt and tie every day. In his closet he has 4 blue shirts, 3 plaid shirts, and 2 striped shirts. He also has 2 blue ties, 3 red ties, and 3 pink ties. What is the probability that on the first day of school he picks a red tie OR a blue tie
P(Picking a striped shirt and a pink tie)
= 2/(4 + 3 + 2) * 3/(2 + 3 + 3)
= 2/9 * 3/8
= 1/12
1/12 is the probability that on the first day of school he picks a red tie OR a blue tie.
Probability = number of paths to success. A total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.
Probability provides information about the probability that something will happen. For example, meteorologists use weather patterns to predict the likelihood of rain. Epidemiology uses probability theory to understand the relationship between exposure and risk of health effects.
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Leslie tallied the number of times her favorite new song played on 6 radio radio stations this week. She tallied:
What was u of the number of plays
If necessary, round to the nearest tenth.
Leslie tallied the number of times her favorite new song played on six different radio stations throughout the week. The tallies were as follows: 21, 28, 32, 17, 25, and 20. The question asks for the value of u, which represents the average number of times the song played across all six stations.
To find the average or mean, we add up all the tallies and divide by the number of stations. In this case, the sum of the tallies is 143 (21 + 28 + 32 + 17 + 25 + 20), and since there are six stations, we divide by six. Thus, u = 23.8. Therefore, on average, Leslie's favorite new song played approximately 23.8 times across the six radio stations this week.
It is worth noting that in this problem, the data is discrete, meaning the number of plays can only take on whole number values. However, since the question asks for the average, which is a continuous value, we can obtain a decimal answer. Additionally, since we are asked to round to the nearest tenth, we have rounded the answer to one decimal place.
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What is an equation of the line that passes through the point (-5, 7) and is parallel
to the line x - 5y = 15?
Answer:
Step-by-step explanation:
What is an equation of the line that passes through the point (-5, 7) and is parallel
to the line x - 5y = 15?
We have two values, x and y, from our ordered pair.
Plugging those in we have -5 - 35y = 15
Add 5 to both sides: -35y = 20
Divide both sides by 35 : approx. 0.57
Our slope is 0.57
A random sample of 750 Democrats included 615 that consider protecting the environment to be a top priority. A random sample of 850 Republicans included 306 that consider protecting the environment to be a top priority, Construct a 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment.
The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is (0.41, 0.53). This means we can be 99% confident that the true difference in proportions falls within this interval.
Sample size of Democrats, n1 = 750
Number of Democrats who consider the environment as a top priority, x1 = 615
Sample size of Republicans, n2 = 850
Number of Republicans who consider the environment as a top priority, x2 = 306
Calculate the sample proportions:
Sample proportion of Democrats, p1 = x1 / n1 = 615 / 750 = 0.82
Sample proportion of Republicans, p2 = x2 / n2 = 306 / 850 = 0.36
Calculate the standard error of the difference in two sample proportions:
σd = sqrt{ [P1(1-P1) / n1] + [P2(1-P2) / n2] }
σd = sqrt{ [0.82(0.18) / 750] + [0.36(0.64) / 850] }
σd = sqrt{ 0.000180 + 0.000240 }
σd = sqrt{ 0.000420 }
σd ≈ 0.0205
Determine the level of confidence:
Given level of confidence, C = 99%
Find the critical value (z-score):
The z-score corresponding to the given level of confidence can be obtained from the standard normal table. For a 99% confidence level, the critical value is approximately z = 2.576.
Calculate the margin of error:
The margin of error is given by E = z * σd
E = 2.576 * 0.0205
E ≈ 0.0528
Construct the confidence interval:
The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is given by (D – d, D + d), where D is the difference in sample proportions and d is the margin of error.
(0.82 – 0.36 – 0.0528, 0.82 – 0.36 + 0.0528)
(0.41, 0.53)
Interpretation:
We can be 99% confident that the true difference in the percentages of Democrats and Republicans who prioritize protecting the environment falls within the interval (0.41, 0.53).
This means that there is a significant difference between the two groups in terms of the proportion that prioritize protecting the environment. The Democrats have a higher proportion compared to the Republicans.
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